posted on 2025-03-26, 06:41authored byAndrea Armaroli
We study a family of periodic traveling wave solution of a pure quartic generalized nonlinear Schrödinger equation (NLSE). We focus on dn-oidal-like solutions with a non zero average component. After numerically finding a one-parameter family of solutions and comparing it to their conventional NLSE counterpart, we numerically solve the corresponding modulational instability problem. This shows a nontrivial trend, where the instability occurs in specific intervals of the parameter separated by stability islands. Numerical simulations confirm the soundness of this result, thus proving that high-order dispersion terms in an optical waveguide allow to observe the propagation of regular and stable comb-like spectra.
History
Funder Name
Ministero dell'Università e della Ricerca (PRIN 2020X4T57A,PRIN 2022NCTCY---NextGenerationEU)